论文信息 - Existence conditions in variational inclusions with constraints

Existence conditions in variational inclusions with constraints

In this article we study a general variational inclusion problem with constraints. An existence theorem is given for the scalar problem which allows us to derive several results on existence of solutions of variational inequality and variational inclusion models in which the set-valued data are present.

D. T. Luc | D. Luc | N. X. Tan

[1] Angelo Guerraggio,et al. On general vector quasi-optimization problems , 2002, Math. Methods Oper. Res..

[2] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[3] F. Giannessi,et al. Variational inequalities and network equilibrium problems , 1995 .

[4] Patrick T. Harker,et al. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..

[5] D. Luc,et al. Existence conditions in general quasimonotone variational inequalities , 2005, Bulletin of the Australian Mathematical Society.

[6] Lai-Jiu Lin,et al. On Some Generalized Quasi-Equilibrium Problems☆☆☆ , 1998 .

[7] Nguyen Xuan Tan,et al. On the Existence of Solutions of Quasivariational Inclusion Problems , 2004 .

[8] I. V. Konnov,et al. On Quasimonotone Variational Inequalities , 1998 .

[9] Zdzisław Denkowski,et al. Set-Valued Analysis , 2021 .

[10] K. Fan. A generalization of Tychonoff's fixed point theorem , 1961 .

[11] Fabián Flores Bazán. Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case , 2001, SIAM Journal on Optimization.

[12] C. Tammer,et al. Theory of Vector Optimization , 2003 .

[13] Siegfried Schaible,et al. Quasimonotone variational inequalities in Banach spaces , 1996 .